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The Lindelöf principle and angular derivatives in convex domains of finite type

Abate, Marco ; Tauraso, Roberto

Journal of the Australian Mathematical Society (2001), 2002-10, Vol.73 (2), p.221-250 [Periódico revisado por pares]

Cambridge, UK: Cambridge University Press

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  • Título:
    The Lindelöf principle and angular derivatives in convex domains of finite type
  • Autor: Abate, Marco ; Tauraso, Roberto
  • Assuntos: Domains ; primary 32A40 ; Principles ; secondary 32H40
  • É parte de: Journal of the Australian Mathematical Society (2001), 2002-10, Vol.73 (2), p.221-250
  • Notas: PII:S1446788700008818
    ArticleID:00881
    ark:/67375/6GQ-K5BHJ5NC-M
    istex:7882585B0EB6AB1649ACC336BCE14BCBABBF8D1A
  • Descrição: We describe a generalization of the classical Julia-Wolff-Carathéodory theorem to a large class of bounded convex domains of finite type, including convex circular domains and convex domains with real analytic boundary. The main tools used in the proofs are several explicit estimates on the boundary behaviour of Kobayashi distance and metric, and a new Lindelöf principle.
  • Editor: Cambridge, UK: Cambridge University Press
  • Idioma: Inglês

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